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Finding the Third Proportional to 360,644 and 779,095

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Solution

The third proportional to 360,644 and 779,095 is: 1,683,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,644 : 779,095 = 779,095 : x
  2. Step 2: Convert to fraction form
    360,644/779,095 = 779,095/x
  3. Step 3: Cross multiply
    360,644x = 779,095 × 779,095
  4. Step 4: Simplify right side
    360,644x = 606,989,019,025
  5. Step 5: Solve for x
    x = 606,989,019,025/360,644
  6. Step 6: Final answer
    x = 1,683,069.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.